login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A083240 Primes prime(j) such that prime(j)-j is a true power of prime. 3
37, 47, 163, 167, 647, 881, 1151, 1627, 3271, 5179, 5659, 11597, 13799, 18503, 31259, 43331, 44201, 76441, 163883, 277231, 391067, 402487, 630493, 643703, 809407, 985679, 1170311, 1326989, 1365799, 2113973, 2260631, 2273101, 2392939, 2662133, 2750431 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..1000

FORMULA

A001221(a(n)-A000720(a(n))) = 1 and a(n)-A000720(a(n)) is in A025475.

EXAMPLE

11597 is the 1396th prime and 11597-1396 = 10201 = 101^2.

MATHEMATICA

Do[s=Prime[n]-n; If[Equal[Length[FactorInteger[s]], 1]&&!PrimeQ[s], Print[Prime[n]]], {n, 1, 100000}]

CROSSREFS

Cf. A025475, A109315.

Sequence in context: A231254 A218834 A039465 * A162556 A129072 A297911

Adjacent sequences:  A083237 A083238 A083239 * A083241 A083242 A083243

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 24 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 17 23:13 EDT 2022. Contains 356204 sequences. (Running on oeis4.)